Finding the Third Proportional to 34,952 and 76,382

Step by Step Solution

1. Step 1: Write the proportion equation
   34,952 : 76,382 = 76,382 : x
2. Step 2: Convert to fraction form
   34,952/76,382 = 76,382/x
3. Step 3: Cross multiply
   34,952x = 76,382 × 76,382
4. Step 4: Simplify right side
   34,952x = 5,834,209,924
5. Step 5: Solve for x
   x = 5,834,209,924/34,952
6. Step 6: Final answer
   x = 166,920.63